In this paper, we study the multiplicity of solutions for a class of nonhomogeneous Schrödinger–Poisson systems under general superlinear conditions at infinity. With the aid of Ekeland’s variational principle, Jeanjean’s monotone method, Pohožaev’s identity, and the mountain pass theorem, we prove that a Schrödinger–Poisson system has at least two positive solutions, which generalizes and improves some recent results in the literature.

中文翻译：

---

ℝ3* 中非齐次薛定谔-泊松系统的多重正解

在本文中，我们研究了一类非齐次薛定谔-泊松系统在无穷远的一般超线性条件下的多重解。借助 Ekeland 的变分原理、Jeanjean 的单调方法、Pohožaev 的恒等式和山口定理，我们证明了 Schrödinger-Poisson 系统至少有两个正解，这对文献中的一些最新结果进行了概括和改进。